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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality ((a-1/(4a))^2)/4+(1/(2a))^2 <= 1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( ( a - 1 / ( 4 * a ) ) ^ 2 ) / 4 + ( 1 / ( 2 * a ) ) ^ 2 <= 1         (1)
        From the definition field of divisor
         4 * x ≠ 0        (2 )
        From the definition field of divisor
         2 * x ≠ 0        (3 )

    From inequality(1):
         -√17/2 ≤ a ≤ -1/2 或  1/2 ≤ a ≤ √17/2
    From inequality(2):
         a < 0 或  a > 0
    From inequality(3):
         a < 0 或  a > 0

    From inequalities (1) and (2)
         -√17/2 ≤ a ≤ -1/2 或  1/2 ≤ a ≤ √17/2    (4)
    From inequalities (3) and (4)
         -√17/2 ≤ a ≤ -1/2 或  1/2 ≤ a ≤ √17/2    (5)

    The final solution set is :

         -√17/2 ≤ a ≤ -1/2 或  1/2 ≤ a ≤ √17/2




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